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Statistics & Probability

SequencesLessonsMaterialsVideos
  1. Math

Statistics & Probability

SequencesLessonsMaterialsVideos
SequencesLessonsMaterialsVideos

Data representation, distributions, and statistical variability using sampling and inference techniques. Integrates probability models, compound events, bivariate patterns, and linear models to guide data-driven decision making.

Data DistributionsAnalyzes the shape, center, and spread of numerical datasets using histograms, box plots, and dot plots. Examines measures of central tendency and variability to interpret data consistency and skewness.
Statistical VariabilityAnalysis of data spread using range, interquartile range, and mean absolute deviation. Examines how individual data points differ from the center and from each other within a distribution.
Interpret Categorical and Quantitative DataStatistical analysis techniques for summarizing and visualizing numerical and non-numerical data sets. Emphasizes shape, center, spread, and the impact of outliers on data interpretation through dot plots, histograms, and box plots.
MathNumbers & CountingCounting ObjectsNumber NamesComparing NumbersNumber OperationsCounting SequenceNumbers 0-10Place Value Understanding and SystemAdd and Subtract Within 20Addition and Subtraction ConceptsAddition and Subtraction EquationsAddition and Subtraction ProblemsFoundations for MultiplicationMultiplication and Division PropertiesMultiply and Divide Within 100Multiplication and Division ProblemsFactors and MultiplesProperties of OperationsPatterns and RelationshipsGenerate and Analyze PatternsMulti-Digit ArithmeticPlace Value OperationsMulti-Digit and Decimal OperationsNumerical ExpressionsFour Operations and PatternsFour Operations Problem SolvingMeasurement & DataMeasurable AttributesMeasuring LengthsMeasure and Estimate Lengths in Standard UnitsRelate Addition and Subtraction to LengthClassifying and Counting ObjectsTime and MoneyArea Concepts and MeasurementPerimeter and Area MeasuresAngle Concepts and MeasurementTime, Volume, and MassMeasurement Unit ConversionsGeometryIdentifying ShapesShapes and AttributesShape Attributes and ReasoningShapes and CompositionClassifying 2D FiguresGeometric Figures and RelationshipsLines, Angles, and ShapesAngle, Area, and VolumeGeometric MeasurementVolume of 3D ShapesCoordinate Plane ApplicationsTransformations in the PlaneCongruence and SimilarityUnderstand congruence in terms of rigid motionsSimilarity and TransformationsProve Theorems Involving SimilarityPythagorean TheoremTrigonometry for General TrianglesMake Geometric ConstructionsProve Geometric TheoremsTheorems About CirclesFind Arc Lengths And Areas of Sectors of CirclesVolume FormulasRelationships Between Two-Dimensional and Three-Dimensional ObjectsProve Simple Geometric Theorems AlgebraicallyTranslate Between Geometric Description and Equation for Conic SectionApply Geometric Concepts in Modeling SituationsFractions & DecimalsFractions as NumbersBuilding FractionsFraction Equivalence and OrderingAdding and Subtracting FractionsMultiplying and Dividing FractionsDividing FractionsDecimal FractionsMulti-Digit Computation and FactorsAdd, Subtract, Multiply, and Divide Rational NumbersRational Number SystemIrrational Numbers and ApproximationsRatiosRatios and ProportionsProportional RelationshipsUnit RateAlgebraAlgebraic ExpressionsGenerate Equivalent ExpressionsQuantitative RelationshipsProportional Relationships and Linear EquationsEquations and InequalitiesEquation Solving and ReasoningLinear Equations and SystemsGraph Equations and InequalitiesSystems of EquationsReal-World Algebraic ProblemsQuantitative Reasoning with UnitsExpression StructureEquivalent Expression FormsRadicals and Integer ExponentsRational ExponentsRational and Irrational NumbersPolynomial OperationsPolynomial IdentitiesPolynomial Zeros and FactorsRational ExpressionsComplex Number OperationsComplex Numbers in PolynomialsComplex Numbers on PlaneStatistics & ProbabilityRepresent and Interpret DataData DistributionsStatistical VariabilityProbability ModelsCompound Event ProbabilitiesStatistical SamplingInterpret Categorical and Quantitative DataBivariate Data PatternsInterpret Linear ModelsComparing Two PopulationsRandom Processes in StatisticsIndependence and Conditional ProbabilityExpected ValuesProbability-Based Decision MakingStatistical Inference and ConclusionsFunctionsFunction Concepts and NotationDefine and Compare FunctionsInterpret Functions in ContextAnalyze Function RepresentationsModel Relationships with FunctionsIdentify Linear vs Exponential GrowthDistinguish Between Function TypesCompare Growth RatesInterpret Function ExpressionsBuild Functions from RelationshipsConstruct and Model FunctionsTransform and Combine FunctionsModel Comparison and SelectionSolve Exponential EquationsTrigonometryTrigonometric Ratios Involving Right TrianglesTrigonometric Functions and Unit CircleModel with Trigonometric FunctionsTrigonometric IdentitiesVectors & MatricesIntroduction to Vectors and MatricesVector QuantitiesVector OperationsMatrix OperationsCalculusLimits and ContinuityDerivative Concepts and NotationDerivative Rules and TechniquesApplications of DerivativesOptimization ProblemsRelated RatesCurve Sketching and AnalysisIntegration Concepts and NotationAntiderivatives and Indefinite IntegralsDefinite Integrals and AreaFundamental Theorem of CalculusIntegration TechniquesApplications of IntegrationDifferential EquationsSequences and SeriesParametric and Polar FunctionsVector-Valued Functions
Material
Case Quality Rubric

Case Quality Rubric

A grading rubric for the 'Data Detectives' project, categorizing student performance across data collection, graph accuracy, analysis, and conclusions.

T

tracywilkes

Instructor
2/16
Material
Project Brief Guide

Project Brief Guide

A student-facing project guide that outlines the specific components required for the final 'Data Detectives' case portfolio, including evidence logs, visual profiling, and the final verdict.

T

tracywilkes

Instructor
2/16
Material
Evidence Log Worksheet

Evidence Log Worksheet

A student-facing data collection worksheet designed for the 'Data Detectives' project, including space for frequency tables, field notes, and hypotheses.

T

tracywilkes

Instructor
2/16
Material
Case Briefing Slides

Case Briefing Slides

Engaging slide presentation for the 'Data Detectives' project, introducing the core concepts of data literacy, graph types, and the project requirements.

T

tracywilkes

Instructor
2/16
Material
Investigation Guide Teacher Guide

Investigation Guide Teacher Guide

A comprehensive teacher lesson plan for the 'Data Detectives' project, outlining phase-by-phase instructions, discussion prompts, and curriculum alignment for grades 6-8.

T

tracywilkes

Instructor
2/16
Material
Facilitator Lab Notes

Facilitator Lab Notes

A comprehensive teacher facilitation guide including instructional tips, common student misconceptions, and a complete answer key for all lesson materials.

Lenny Avatar
Lenny
2/12
Material
Shifter Facilitation Guide

Shifter Facilitation Guide

A comprehensive teacher guide providing lesson objectives, a step-by-step facilitation script, and targeted Tier 2 support strategies for the Data Shape Shifters lesson.

Lenny Avatar
Lenny
2/12
Material
Data Wizard Probe

Data Wizard Probe

A concise formative assessment probe for students to demonstrate their mastery of identifying and creating data displays. Includes identification, error analysis, and a mini-creation task.

Lenny Avatar
Lenny
2/12
Material
Data Architect Teacher Guide

Data Architect Teacher Guide

A comprehensive teacher facilitation guide providing instructional scripts, Tier 2 scaffolding strategies, pacing suggestions, and a detailed answer key for all student materials.

Lenny Avatar
Lenny
2/12
Material
Stat Check Exit Ticket

Stat Check Exit Ticket

A formal progress monitoring tool for the end of the lesson. Includes multiple-choice, short answer, and matching questions to assess student understanding of measures of center vs. variation.

Lenny Avatar
Lenny
2/12
Material
Case Closed Exit Ticket

Case Closed Exit Ticket

A final progress monitoring tool for students to identify outliers and select the appropriate measure of center for a given data set.

Lenny Avatar
Lenny
2/12
Material
Progress Monitoring Probes

Progress Monitoring Probes

Two parallel progress monitoring probes (A and B) for assessing student mastery of calculating and interpreting mean, median, and range within context.

Lenny Avatar
Lenny
2/12
Material
Final Analysis Exit Ticket

Final Analysis Exit Ticket

A formative assessment exit ticket for summarizing numerical data sets. It requires students to independently identify context, calculate mean and median, find the MAD, and write a concluding summary sentence.

Lenny Avatar
Lenny
2/12
Material
Data Vocab Cards

Data Vocab Cards

A set of 6 visual vocabulary cards for students to cut out, featuring symmetric, skewed, uniform, center, spread, and outlier with clear diagrams and definitions.

Lenny Avatar
Lenny
2/12
Material
Fair Share Lab Key

Fair Share Lab Key

Answer key for the Fair Share Lab workbook, providing correct values and explanations for teacher use.

Lenny Avatar
Lenny
2/12
Material
Blueprint Lab Practice

Blueprint Lab Practice

Scaffolded practice worksheet for creating dot plots, histograms, and box plots. Includes a hands-on dot plot activity, a frequency table for histograms, and a 5-number summary guide for box plots.

Lenny Avatar
Lenny
2/12
Material
Stat Lab Teacher Guide

Stat Lab Teacher Guide

A teacher protocol guide providing specific instructions for hands-on 'Stat Lab' activities, including balance points with rulers and human median lines. Includes key discussion questions and answer keys for student materials.

Lenny Avatar
Lenny
2/12
Material
Mystery Locker Activity

Mystery Locker Activity

A collaborative project sheet where pairs of students compare two data sets (Locker A vs Locker B) and use measures of center and variability to determine which is heavier, accounting for an outlier in Locker A.

Lenny Avatar
Lenny
2/12
Material
Data Check Out Exit Ticket

Data Check Out Exit Ticket

A concise exit ticket for progress monitoring. It asks students to construct a simple dot plot and identify the median from a box plot, followed by a confidence self-assessment.

Lenny Avatar
Lenny
2/12
Material
Lab Report Worksheet

Lab Report Worksheet

A scaffolded lab report worksheet for students to record and analyze numerical data. It includes structured sections for observations, mean/median calculation, a MAD scaffolding table, and a fill-in-the-blank summary paragraph.

Lenny Avatar
Lenny
2/12
Material
Facilitator Lab Notes

Facilitator Lab Notes

A comprehensive teacher facilitation guide including instructional tips, common student misconceptions, and a complete answer key for all lesson materials.

Lenny Avatar
Lenny
2/12
Material
Intervention Facilitator Guide

Intervention Facilitator Guide

A teacher-facing facilitator guide for the Variability Vault intervention lesson. Includes objectives, step-by-step instructions, discussion prompts, and common student misconceptions.

Lenny Avatar
Lenny
2/12
Material
Shifter Facilitation Guide

Shifter Facilitation Guide

A comprehensive teacher guide providing lesson objectives, a step-by-step facilitation script, and targeted Tier 2 support strategies for the Data Shape Shifters lesson.

Lenny Avatar
Lenny
2/12
Material
Stat Check Exit Ticket

Stat Check Exit Ticket

A formal progress monitoring tool for the end of the lesson. Includes multiple-choice, short answer, and matching questions to assess student understanding of measures of center vs. variation.

Lenny Avatar
Lenny
2/12
Material
Statistical Checkpoint Exit Ticket

Statistical Checkpoint Exit Ticket

A formative assessment exit ticket for students to demonstrate their ability to identify and write statistical questions. Includes multiple choice, question writing, and a definition check.

Lenny Avatar
Lenny
2/12
Material
Case Closed Exit Ticket

Case Closed Exit Ticket

A final progress monitoring tool for students to identify outliers and select the appropriate measure of center for a given data set.

Lenny Avatar
Lenny
2/12
Material
Data Pulse Check

Data Pulse Check

Short progress monitoring probe to assess student understanding of statistical questions and data variability.

Lenny Avatar
Lenny
2/12
Material
Progress Monitoring Probes

Progress Monitoring Probes

Two parallel progress monitoring probes (A and B) for assessing student mastery of calculating and interpreting mean, median, and range within context.

Lenny Avatar
Lenny
2/12
Material
Final Analysis Exit Ticket

Final Analysis Exit Ticket

A formative assessment exit ticket for summarizing numerical data sets. It requires students to independently identify context, calculate mean and median, find the MAD, and write a concluding summary sentence.

Lenny Avatar
Lenny
2/12
Material
Data Vocab Cards

Data Vocab Cards

A set of 6 visual vocabulary cards for students to cut out, featuring symmetric, skewed, uniform, center, spread, and outlier with clear diagrams and definitions.

Lenny Avatar
Lenny
2/12
Material
Fair Share Lab Key

Fair Share Lab Key

Answer key for the Fair Share Lab workbook, providing correct values and explanations for teacher use.

Lenny Avatar
Lenny
2/12
Material
Stat Lab Teacher Guide

Stat Lab Teacher Guide

A teacher protocol guide providing specific instructions for hands-on 'Stat Lab' activities, including balance points with rulers and human median lines. Includes key discussion questions and answer keys for student materials.

Lenny Avatar
Lenny
2/12
Material
Data Detective Practice

Data Detective Practice

A guided practice worksheet for writing statistical questions from scenarios and converting non-statistical questions into statistical ones. Features structured answer areas and detective tips.

Lenny Avatar
Lenny
2/12
Material
Mystery Locker Activity

Mystery Locker Activity

A collaborative project sheet where pairs of students compare two data sets (Locker A vs Locker B) and use measures of center and variability to determine which is heavier, accounting for an outlier in Locker A.

Lenny Avatar
Lenny
2/12
Material
Variable Makeover Worksheet

Variable Makeover Worksheet

Collaborative revision activity where students transform non-statistical questions into statistical ones by introducing groups and variability.

Lenny Avatar
Lenny
2/12
Material
Lab Report Worksheet

Lab Report Worksheet

A scaffolded lab report worksheet for students to record and analyze numerical data. It includes structured sections for observations, mean/median calculation, a MAD scaffolding table, and a fill-in-the-blank summary paragraph.

Lenny Avatar
Lenny
2/12
Material
Quest Clearance Exit Ticket

Quest Clearance Exit Ticket

A concise exit ticket for monitoring student progress on identifying statistical questions, justifying their reasoning using the concept of variability, and creating their own questions.

Lenny Avatar
Lenny
2/12
Material
Data Duel Worksheet

Data Duel Worksheet

A guided worksheet for comparing data sets through real-world contexts like sports performance and weather stability, featuring interpretation sentence frames.

Lenny Avatar
Lenny
2/12
Material
Fair Share Lab Workbook

Fair Share Lab Workbook

A student-facing activity workbook for the Fair Share Lab, providing guided space for recording hands-on data explorations and a final formative assessment.

Lenny Avatar
Lenny
2/12
Material
Evidence Board Worksheet

Evidence Board Worksheet

A 2-page student worksheet where they build and analyze dot plots. Students physically draw or place stickers to create symmetric and skewed distributions, then compare two bus time datasets.

Lenny Avatar
Lenny
2/12
Material
Case Quality Rubric

Case Quality Rubric

A grading rubric for the 'Data Detectives' project, categorizing student performance across data collection, graph accuracy, analysis, and conclusions.

T

tracywilkes

Instructor
2/16
Material
Project Brief Guide

Project Brief Guide

A student-facing project guide that outlines the specific components required for the final 'Data Detectives' case portfolio, including evidence logs, visual profiling, and the final verdict.

T

tracywilkes

Instructor
2/16
Material
Evidence Log Worksheet

Evidence Log Worksheet

A student-facing data collection worksheet designed for the 'Data Detectives' project, including space for frequency tables, field notes, and hypotheses.

T

tracywilkes

Instructor
2/16
Material
Case Briefing Slides

Case Briefing Slides

Engaging slide presentation for the 'Data Detectives' project, introducing the core concepts of data literacy, graph types, and the project requirements.

T

tracywilkes

Instructor
2/16
Material
Investigation Guide Teacher Guide

Investigation Guide Teacher Guide

A comprehensive teacher lesson plan for the 'Data Detectives' project, outlining phase-by-phase instructions, discussion prompts, and curriculum alignment for grades 6-8.

T

tracywilkes

Instructor
2/16
Material
Facilitator Lab Notes

Facilitator Lab Notes

A comprehensive teacher facilitation guide including instructional tips, common student misconceptions, and a complete answer key for all lesson materials.

Lenny Avatar
Lenny
2/12
Material
Shifter Facilitation Guide

Shifter Facilitation Guide

A comprehensive teacher guide providing lesson objectives, a step-by-step facilitation script, and targeted Tier 2 support strategies for the Data Shape Shifters lesson.

Lenny Avatar
Lenny
2/12
Material
Data Wizard Probe

Data Wizard Probe

A concise formative assessment probe for students to demonstrate their mastery of identifying and creating data displays. Includes identification, error analysis, and a mini-creation task.

Lenny Avatar
Lenny
2/12
Material
Data Architect Teacher Guide

Data Architect Teacher Guide

A comprehensive teacher facilitation guide providing instructional scripts, Tier 2 scaffolding strategies, pacing suggestions, and a detailed answer key for all student materials.

Lenny Avatar
Lenny
2/12
Material
Stat Check Exit Ticket

Stat Check Exit Ticket

A formal progress monitoring tool for the end of the lesson. Includes multiple-choice, short answer, and matching questions to assess student understanding of measures of center vs. variation.

Lenny Avatar
Lenny
2/12
Material
Case Closed Exit Ticket

Case Closed Exit Ticket

A final progress monitoring tool for students to identify outliers and select the appropriate measure of center for a given data set.

Lenny Avatar
Lenny
2/12
Material
Progress Monitoring Probes

Progress Monitoring Probes

Two parallel progress monitoring probes (A and B) for assessing student mastery of calculating and interpreting mean, median, and range within context.

Lenny Avatar
Lenny
2/12
Material
Final Analysis Exit Ticket

Final Analysis Exit Ticket

A formative assessment exit ticket for summarizing numerical data sets. It requires students to independently identify context, calculate mean and median, find the MAD, and write a concluding summary sentence.

Lenny Avatar
Lenny
2/12
Material
Data Vocab Cards

Data Vocab Cards

A set of 6 visual vocabulary cards for students to cut out, featuring symmetric, skewed, uniform, center, spread, and outlier with clear diagrams and definitions.

Lenny Avatar
Lenny
2/12
Material
Fair Share Lab Key

Fair Share Lab Key

Answer key for the Fair Share Lab workbook, providing correct values and explanations for teacher use.

Lenny Avatar
Lenny
2/12
Material
Blueprint Lab Practice

Blueprint Lab Practice

Scaffolded practice worksheet for creating dot plots, histograms, and box plots. Includes a hands-on dot plot activity, a frequency table for histograms, and a 5-number summary guide for box plots.

Lenny Avatar
Lenny
2/12
Material
Stat Lab Teacher Guide

Stat Lab Teacher Guide

A teacher protocol guide providing specific instructions for hands-on 'Stat Lab' activities, including balance points with rulers and human median lines. Includes key discussion questions and answer keys for student materials.

Lenny Avatar
Lenny
2/12
Material
Mystery Locker Activity

Mystery Locker Activity

A collaborative project sheet where pairs of students compare two data sets (Locker A vs Locker B) and use measures of center and variability to determine which is heavier, accounting for an outlier in Locker A.

Lenny Avatar
Lenny
2/12
Material
Data Check Out Exit Ticket

Data Check Out Exit Ticket

A concise exit ticket for progress monitoring. It asks students to construct a simple dot plot and identify the median from a box plot, followed by a confidence self-assessment.

Lenny Avatar
Lenny
2/12
Material
Lab Report Worksheet

Lab Report Worksheet

A scaffolded lab report worksheet for students to record and analyze numerical data. It includes structured sections for observations, mean/median calculation, a MAD scaffolding table, and a fill-in-the-blank summary paragraph.

Lenny Avatar
Lenny
2/12